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Finding the Fourth Proportional to 10,605.90, 15,904.80 and 3,207.90

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Solution

The fourth proportional to 10,605.90, 15,904.80 and 3,207.90 is: 4,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.90 : 15,904.80 = 3,207.90 : x
  2. Step 2: Convert to fraction form
    10,605.90/15,904.80 = 3,207.90/x
  3. Step 3: Cross multiply
    10,605.90x = 15,904.80 × 3,207.90
  4. Step 4: Simplify right side
    10,605.90x = 51,021,007.92
  5. Step 5: Solve for x
    x = 51,021,007.92/10,605.90
  6. Step 6: Final answer
    x = 4,810.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.